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A 1-cm-diameter steel ball is cooled after austenitization. At one point during the cooling, a 0.5-mm-thick layer at the surface transforms to martensite while the center is still austenite. For simplicity, assume that the interior is at an average temperature of 200?C and the surface is at 20?C and that there are no stresses in the material at this point. When the center cools to 20?C, it transforms to martensite. For this steel, the austenite-to-martensite transformation is accompanied by a 1.2% volume expansion. Assume that this expansion occurs equally in all directions. For steel, the coef?cient of linear thermal expansion is α = 6 × 10-6/?C, Young's modulus is 30 × 106 psi, and υ = 0.29. Assume these apply to both martensite and austenite. Find the stress state at the surface.
A rectangular gate is used as a retaining wall for seawater as shown in the figure. The gate is hinge at point O 1 m from the bottom. Determine the depth of seawater required for the resultant force to be located at the hinge. The gate width into the..
a simple slide valve with outside admission provides a lead of 3 mm a maximum port opening of 18 mm and a cut-off at 62
For a steel alloy it has been determined that a carburizing heat treatment of 9-h duration will raise the carbon concentration to 0.38 wt% at a point 1.4 mm from the surface. Estimate the time (in h) necessary to achieve the same concentration at a 6..
an air-conditioning unit takes in outside air at 46oc and 100 kpa having a relative humidity of 16. the air is cooled
A 10kg block sliding along a frictionless surface with a velocity of 10m/s comes into contact with a horizontal, uncompressed linear spring. If the spring slows the block down to 0 m/s while being compressed a total of 30 cm, what is its spring const..
a 10 cm2 plate has an electric heater installed that produces a constant heat flux. saturated liquid water at 10 degc
the diagonal of a long triangular bar 45-45-90 triangle section is well insulated. while sides of equivalent length are
The compressor in a plant receives carbon dioxide at 100 kPa, 280 K at a low velocity. At the compressor exit the carbon dioxide is at 1100 kPa and 500 K with a velocity of 25 m/s. The carbon dioxide then flows into an isobaric heat exchanger where i..
two reversible power cycles are arranged in series. the first cycle receives energy by heat transfer from a reservoir
a six cylinder 2-stroke diesel engine running at 120 revmin has a bore of 900mm and a stroke of 1300mm. the brake
a long steel tape measure 9.5 mm wide x 0.20 mm thick having an elastic modulus e 210 gpa is used to measure the width
the average plate temperature of a flat plate of length l with constant heat flux with air at 20?c flowing over it at a
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